We look over recent developments on our understanding about relativistic matter under external electromagnetic fields and mechanical rotation. I review various calculational approaches for concrete physics problems, putting my special emphasis on generality of the method and the consequence, rather than going into phenomenological applications in a specific field of physics. The topics covered in this article include static problems with magnetic fields, dynamical problems with electromagnetic fields, and phenomena induced by rotation.

中文翻译：

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电磁场和旋转中的极端物质

我们回顾了我们对外部电磁场和机械旋转下的相对论物质的理解的最新进展。我回顾了具体物理问题的各种计算方法，特别强调方法和结果的一般性，而不是进入特定物理领域的现象学应用。本文涵盖的主题包括磁场的静态问题、电磁场的动力学问题以及旋转引起的现象。